Method of edge detection on bi-stable system

In this paper, a new algorithm is proposed for edge detection. A nonliear reaction diffusion equation is employed to extract the image edges. The mechanism of the new algorithm is based on the local dynamics of the reaction diffusion system. Three characteristics of dynamics including excitable, Turing/Hopf instability, and bistable dyanmics can be obtained depending on the control parameters. In the bistable region the system has the ability to detect the edges of images exactlly. Some of the best results are attained from a number of standard test problems. Compared with the conventional methods, the new algorithm indicates a higher accuracy and continuity for the image. Moreover, the edge detection process is not sensitive to the noise.